# Single Degree of Freedom System-Video Simulation

• jrm2002
In summary, the conversation discusses a request for help with video simulations on vibrations in a single degree of freedom system. The initial conditions and flaws in the demonstration are also mentioned. Gruebler's equation is suggested as a way to determine the system's degree of freedom.

#### jrm2002

Can anyone help me with some video simulations on vibrations in single degree of freedom system like the one in the link below

http://video.yahoo.com/video/play?p=single+degree+of+freedom&ei=UTF-8&b=0&oid=a25e1d6eb35e01b8&rurl=www.wvutech.edu&vdone=http%3A%2F%2Fvideo.yahoo.com%2Fvideo%2Fsearch%3Fp%3Dsingle%2Bdegree%2Bof%2Bfreedom%26ei%3DUTF-8 [Broken]

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You should be a bit more specific about what exactly your problem is.

jrm2002 -- please provide a better post.

For one thing, this is harmonic motion with one degree of freedom.

Also, the initial conditions are:

x(0) ~= 4.45m

$$\dot {x(0)} ~= 0.6 m/s$$

I do not like this demonstration. They should have their neutral axis about the equilibrium position, not at around 4.5. They need to do a coordinate transformation.

You can easily see that this is a single degree of freedom by applying Gruebler's equation.

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## 1. What is a single degree of freedom system?

A single degree of freedom system refers to a physical system with only one independent variable that can change with time. This variable can be a displacement, velocity, or acceleration. It is a simplified model used in engineering and physics to analyze the behavior of more complex systems.

## 2. What does a video simulation of a single degree of freedom system show?

A video simulation of a single degree of freedom system shows the motion of the system in response to an applied force or disturbance. This can help visualize the behavior of the system and understand its response under different conditions.

## 3. How is a single degree of freedom system represented mathematically?

A single degree of freedom system can be represented by a second-order ordinary differential equation, where the independent variable is time and the dependent variable is the displacement, velocity, or acceleration of the system. This equation can be solved using mathematical methods to analyze the behavior of the system.

## 4. What factors affect the behavior of a single degree of freedom system?

The behavior of a single degree of freedom system is affected by several factors, including the stiffness of the system, the mass of the system, and the damping present in the system. These factors determine the natural frequency, damping ratio, and response amplitude of the system.

## 5. How is a single degree of freedom system useful in real-world applications?

A single degree of freedom system is a simplified model that is useful in understanding the behavior of more complex systems. It is commonly used in engineering to analyze the response of structures such as buildings, bridges, and machines to external forces and disturbances. It can also be used in physics to study the behavior of oscillating systems such as pendulums and springs.